Least Common Multiple of 81/73, 89/35, 56/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/73, 89/35, 56/418 quickly i.e. 403704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/73, 89/35, 56/418 is 403704.

LCM(81/73, 89/35, 56/418) = 403704

LCM of 81/73, 89/35, 56/418

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 81/73,89/35,56/418

Given numbers are 81/73,89/35,56/418

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 81,89,56

Least Common Multiple of Numerators i.e. LCM of 81,89,56 is 403704.

GCF of Denominators means GCF of 73,35,418 as per the given fractions.

GCF of 73,35,418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,89,56

LCM of Fractions 81/73,89/35,56/418 is 403704

Given numbers has no common factors except 1. So, there LCM is their product i.e 403704

Least Common Multiple of 81,89,56 with GCF Formula

Least Common Multiple of 81,89,56 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 81,89,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,89,56) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(81,89,56) x common factors =1 x 1 = 1

LCM(81,89,56) = ( 81 × 89 × 56 ) / 1

LCM(81,89,56) = 403704 / 1

LCM(81,89,56) = 403704


Lets's calculate GCF of 73,35,418

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403704/1

Therefore the LCM of Fractions 81/73,89/35,56/418 is 403704

Greatest Common Factor of 73,35,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,35,418 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 73,35,418 . The biggest common factor number is the GCF number.
So the greatest common factor 73,35,418 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 81/73, 89/35, 56/418

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 81/73, 89/35, 56/418?

Answer: LCM of Numerators as per given numbers 81/73, 89/35, 56/418 is

LCM of Numerators i.e. for 81,89,56 is 403704

GCF of denominators i.e. for 73,35,418 is 1.

Thus, LCM of Fractions is 403704.Finally, LCM of Fractions for 81/73, 89/35, 56/418 is 403704.